Entanglement and sensitivity in precision measurements with states of a fluctuating number of particles
arXiv:1003.0649 · doi:10.1103/PhysRevLett.105.120501
Abstract
The concepts of separability, entanglement, spin-squeezing and Heisenberg limit are central in the theory of quantum enhanced metrology. In the current literature, these are well established only in the case of linear interferometers operating with input quantum states of a known fixed number of particles. This manuscript generalizes these concepts and extends the quantum phase estimation theory by taking into account classical and quantum fluctuations of the particle number. Our analysis concerns most of the current experiments on precision measurements where the number of particles is known only in average.
Published version
References in corpus (13)
- Reference frames, superselection rules, and quantum information
- Beating the Standard Quantum Limit with Four Entangled Photons
- Squeezing and entanglement in a Bose-Einstein condensate
- Optimal Quantum Phase Estimation
- Quantum Metrology with Two-Mode Squeezed Vacuum: Parity Detection Beats the Heisenberg Limit
- Mach-Zehnder Interferometry at the Heisenberg Limit with coherent and squeezed-vacuum light
- Long Phase Coherence Time and Number Squeezing of two Bose-Einstein Condensates on an Atom Chip
- All path-symmetric pure states achieve their maximal phase sensitivity in conventional two-path interferometry
- Precision quantum metrology and nonclassicality in linear and nonlinear detection schemes
- Sub-shot-noise quantum metrology with entangled identical particles
- Photon-number superselection and the entangled coherent-state representation
- Quantum states for Heisenberg-limited interferometry
- Optimized Double-well quantum interferometry with Gaussian squeezed-states
Cited by in corpus (66)
- Quantum spin squeezing
- Quantum metrology from a quantum information science perspective
- Quantum Fisher information matrix and multiparameter estimation
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- Optimal adaptive control for quantum metrology with time-dependent Hamiltonians
- Quantum interferometry with and without an external phase reference
- Efficient tools for quantum metrology with uncorrelated noise
- Sensitivity Bounds for Multiparameter Quantum Metrology
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- Quantum metrology for non-linear phase shifts with entangled coherent states
- Spin squeezing and entanglement for arbitrary spin
- Einstein-Podolsky-Rosen entanglement and steering in two-well BEC ground states
- Quantum measurement bounds beyond the uncertainty relations
- Phase sensitivity bounds for two-mode interferometers
- Quantum Fisher information and symmetric logarithmic derivative via anti-commutators
- Sub-Heisenberg estimation of non-random phase-shifts
- Quantum Metrological Bounds for Vector Parameter
- Achieving Heisenberg-limited metrology with spin cat states via interaction-based readout
- Entanglement and Extreme Spin Squeezing for a Fluctuating Number of Indistinguishable Particles
- Optimal Heisenberg-style bounds for the average performance of arbitrary phase estimates
- Intramode correlations enhanced phase sensitivities in an SU(1,1) interferometer
- Adaptive phase estimation with two-mode squeezed-vacuum and parity measurement
- Quantum Fisher Information of Entangled Coherent States in a Lossy Mach-Zehnder Interferometer
- Achieving Heisenberg-scaling precision with projective measurement on single photons
- Mach-Zehnder interferometry with interacting trapped Bose-Einstein condensates
- Unbounded quantum Fisher information in two-path interferometry with finite photon number
- Implications and applications of the variance-based uncertainty equalities
- Electromagnetic shielding in quantum metrology
- Optimal Gaussian Metrology for Generic Multimode Interferometric Circuit
- Protocols for estimating multiple functions with quantum sensor networks: geometry and performance
- Optimal Measurement of Field Properties with Quantum Sensor Networks
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- Macroscopic superpositions in Bose-Josephson junctions: Controlling decoherence due to atom losses
- Relating spin squeezing to multipartite entanglement criteria for particles and modes
- Supersensitivity of Kerr phase estimation with two-mode squeezed vacuum states
- Ramsey interferometry using the Zeeman sublevels in a spin-2 Bose gas
- Bogoliubov theory for atom scattering into separate regions
- Two-Mode Bosonic Quantum Metrology with Number Fluctuations
- Effect of one-, two-, and three-body atom loss processes on superpositions of phase states in Bose-Josephson junctions
- Optimal Conventional Measurements for Quantum-Enhanced Interferometry
- Multiqubit matter-wave interferometry under decoherence and the Heisenberg scaling recovery
- Quantum metrology with a continuous-variable system
- Dynamics of Quantum Fisher information in a spin-boson model
- Number-phase uncertainty relations and bipartite entanglement detection in spin ensembles
- Entanglement detection from channel parameter estimation problem
- Using states with a large photon number variance to increase quantum Fisher information in single-mode phase estimation
- Multi-parameter estimation with multi-mode Ramsey interferometry
- Generalized Limits for Parameter Sensitivity via Quantum Ziv-Zakai Bound
- Extreme spin squeezing for photons
- Entanglement-enhanced test proposal for local Lorentz-symmetry violation via spinor atoms
- Achieving Heisenberg scaling by probe-ancilla interaction in quantum metrology
- Multi-partite entanglement detection with non symmetric probing
- Interferometry with independently prepared Bose-Einstein condensates
- Dynamical generation of phase-squeezed states in a two-component Bose-Einstein condensates
- Generalized spin squeezing inequalities for particles number with quantum fluctuations
- Optimal quantum phase estimation in an atomic gyroscope based on Bose-Hubbard model
- Average number is an insufficient metric for interferometry
- Critical Quantum Sensing: a tutorial on parameter estimation near quantum phase transitions
- Even- and odd-orthogonality properties of the Wigner D-matrix and their metrological applications
- Quantum interferometry in multi-mode systems
- Decoherence induced spin squeezing signatures in Greenberger-Horne-Zeilinger and W states